Simplex Algorithm

[ftneek]

I uploaded new source files with quite a few improvements. The biggest being that simplex() does not require you to manually enter any slack or artificial variables, and it is able to handle maximization problems, integer restrictions, binary restrictions, and unrestricted variables. Also simplex_int() accepts programs in canonical form, to match the change to simplex_core().

Binary example: test16()
> simplex([[5,11,13,16,9,32,32],[7,19,20,23,15,49,62],[9,25,26,29,16,63,77],[9,28,30,35,15,72,88],[-1,1,0,0,0,0,0],[0,0,0,1,1,1,1],[0,0,-1,-1,-1,-1,-1],[10,18,22,25,12,12,0]],0,[],lpmax,[1,2,3,4,5,6])
> [53, ...]

Next I would like to work on simplifying the arguments, so that you can omit an argument if it is not needed. For example currently if there is an unrestricted variable you have to input 6 parameters even if some aren't used or the default value is used. In that sense I think I would like to be a bit more like lpsolve().

Happy holidays!